Question

Create a sample problem that has a binomial which is NOT a factor of the polynomial being divided.

Answer 1

\[\frac{x ^{2}-13x+5}{x-1}\]

Answer 2

Why is the binomial not a factor of the polynomial?

Answer 3

In order for the binomial to be a factor, it must evenly divide into the numerator. However, there is no other binomial (involving integers) that will multiply with x-1 to get the numerator.

Answer 4

Thanks! :D

Answer 5

Sure :)